Let $A$ be a C*-algebra, then $A^{*}=(A^{**})_{*}$? Here, $(.)_{*}$ denotes the predual of $(.)$.
2026-03-27 01:24:27.1774574667
A simple question on predual in C*-algebra
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Every von Neumann algebra $M$ has unique predual $M_*$. Second dual $A^{**}$ of $C^*$ algebra $A$ in fact is a von Neumann algebra which is called enveloping von Neumann algebra. For $M=A^{**}$ we have unique predual which is clearly (now) is $A^*$.